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324142202241423 = 32374657583935797
BaseRepresentation
bin100100110110011100011110…
…0110100100100000110001111
31120111200200200101201010111100
41021230320330310210012033
5314441221212233211143
63105220512203554143
7125163333641600256
oct11154707464440617
91514620611633440
10324142202241423
1194310a328828a5
1230430b1b82b953
1310bb362b3b0ba7
145a087cdcc379d
152771a388d26d3
hex126ce3cd2418f

324142202241423 has 48 divisors (see below), whose sum is σ = 481058667456640. Its totient is φ = 210167381265408.

The previous prime is 324142202241419. The next prime is 324142202241587.

324142202241423 is a `hidden beast` number, since 3 + 2 + 4 + 1 + 4 + 2 + 2 + 0 + 224 + 1 + 423 = 666.

324142202241423 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 324142202241423 - 22 = 324142202241419 is a prime.

It is a super-3 number, since 3×3241422022414233 (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324142202241323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9054992361 + ... + 9055028157.

Almost surely, 2324142202241423 is an apocalyptic number.

324142202241423 is a deficient number, since it is larger than the sum of its proper divisors (156916465215217).

324142202241423 is a wasteful number, since it uses less digits than its factorization.

324142202241423 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46336 (or 46333 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 32414220 and 2241423, that added together give a palindrome (34655643).

The spelling of 324142202241423 in words is "three hundred twenty-four trillion, one hundred forty-two billion, two hundred two million, two hundred forty-one thousand, four hundred twenty-three".

Divisors: 1 3 9 37 111 333 4657 5839 13971 17517 35797 41913 52551 107391 172309 216043 322173 516927 648129 1324489 1550781 1944387 3973467 11920401 27192223 81576669 166706629 209018683 244730007 500119887 627056049 1006112251 1500359661 1881168147 3018336753 6168145273 7733691271 9055010259 18504435819 23201073813 55513307457 69603221439 973400006731 2920200020193 8760600060579 36015800249047 108047400747141 324142202241423